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math.AP2026
Introduction to inverse problems for hyperbolic PDEs
Medet Nursultanov, Lauri Oksanen
There are two main approaches to solve inverse coefficient determination problems for wave equations: the Boundary Control method and an approach based on geometric optics. These n…
math.AP2026
An inverse problem for semilinear wave equations on metric tree graphs
Sergei Avdonin, Matti Lassas, Jinpeng Lu +2
We study the inverse problem for a semilinear wave equation on metric tree graphs. From the Dirichlet-to-Neumann map defined at all but one of the boundary vertices, we recover unk…
math.AP2026
Quantum field theory and inverse problems: Imaging with Entangled Photons
Matti Lassas, Medet Nursultanov, Lauri Oksanen +1
We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to u…